78 citations · 426 across the 35 of their papers we have counts for
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Convergence of discontinuous Galerkin schemes for front propagation with obstacles
Olivier Bokanowski, Yingda Cheng, Chi-Wang Shu
We study semi-Lagrangian discontinuous Galerkin (SLDG) and Runge-Kutta discontinuous Galerkin (RKDG) schemes for some front propagation problems in the presence of an obstacle term…
Numerical Study of the Two-Species Vlasov-Ampère System: Energy-Conserving Schemes and the Current-Driven Ion-Acoustic Instability
Yingda Cheng, Andrew J. Christlieb, Xinghui Zhong
In this paper, we propose energy-conserving Eulerian solvers for the two-species Vlasov-Ampère (VA) system and apply the methods to simulate current-driven ion-acoustic instability…
Energy-conserving Discontinuous Galerkin Methods for the Vlasov-Maxwell System
Yingda Cheng, Andrew J. Christlieb, Xinghui Zhong
In this paper, we generalize the idea in our previous work for the Vlasov-Ampère (VA) system \cite{cheng_va} and develop energy-conserving discontinuous Galerkin (DG) methods for t…